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Finding the Third Proportional to 3.65 and 4.68

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Solution

The third proportional to 3.65 and 4.68 is: 6.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.65 : 4.68 = 4.68 : x
  2. Step 2: Convert to fraction form
    3.65/4.68 = 4.68/x
  3. Step 3: Cross multiply
    3.65x = 4.68 × 4.68
  4. Step 4: Simplify right side
    3.65x = 21.87
  5. Step 5: Solve for x
    x = 21.87/3.65
  6. Step 6: Final answer
    x = 6.00

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.